{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9325f57a-c232-460b-b36a-99a4474b3caa",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np  # 导入 numpy 库，用于进行数学计算\n",
    "import matplotlib.pyplot as plt  # 导入 matplotlib.pyplot 库，用于绘制图形\n",
    "import math  # 导入 math 库，用于数学计算\n",
    "\n",
    "# 定义一个函数，用于生成正弦波\n",
    "def getSin(amp, freq, phase, sampleList):\n",
    "    return amp * np.sin(-2 * math.pi * freq * sampleList + phase)\n",
    "\n",
    "# 定义一个函数，用于生成余弦波\n",
    "def getCos(amp, freq, phase, sampleList):\n",
    "    return amp * np.sin(-2 * math.pi * freq * sampleList + phase)\n",
    "\n",
    "\n",
    "\n",
    "# 1. 获得混合波形\n",
    "srate = 3000  # 设置采样率为 3000\n",
    "t = np.linspace(0, 1, srate)  # 在 0 到 1 的范围内生成等间距的采样点\n",
    "\n",
    "# 分别生成4个波\n",
    "s1 = getSin(amp=1.5, freq=30, phase=0, sampleList=t)\n",
    "c1 = getCos(amp=3, freq=5, phase=0, sampleList=t)\n",
    "s2 = getSin(amp=10, freq=100, phase=0, sampleList=t)\n",
    "c2 = getCos(amp=20, freq=120, phase=0, sampleList=t)\n",
    "\n",
    "m_clean = s1 + c1 + s2 + c2  # 将4个波相加，得到混合波形\n",
    "\n",
    "\n",
    "# 通过fft获得噪音波形的频域图\n",
    "fCoefs = np.fft.fft(m_clean,srate)  # 创建一个复数类型的数组，用于存储傅里叶系数\n",
    "amp_list = 2*np.abs(fCoefs/srate)#获得振幅列表：每一个绕线的重心到原点的距离再乘以2\n",
    "\n",
    "freqs = np.fft.fftfreq(len(amp_list), 1/srate)# 把频率轴从0~300 转变成 0~149 然后 -150~-1\n",
    "\n",
    "amp_shifted = np.fft.fftshift(amp_list)#通过np.fft.fftshift方法把 频率轴 和 数据 都变成 0hz 在中间，向左是负频率，向右是正频率的形式\n",
    "freq_shift = np.fft.fftshift(freqs)\n",
    "\n",
    "amp_shiftedz = np.copy(amp_shifted)\n",
    "amp_shiftedz[(freq_shift>110) | (freq_shift<-110)]=0  #去除频率大于110hz和小于-110hz的噪音\n",
    "\n",
    "mask = amp_shiftedz>1.5  #利用掩模去掉低频噪音\n",
    "amp_shifted1 = mask*amp_shiftedz\n",
    "\n",
    "m_denoise = np.fft.ifftshift(amp_shiftedz)\n",
    "\n",
    "mask1 = m_denoise>1.5 # 通过mask得到过滤掉噪音的频域图\n",
    "fCoefs1 = fCoefs*mask1\n",
    "\n",
    "freq_shift1 = np.fft.fftshift(freq_shift)\n",
    "s_denoise = np.fft.ifft(fCoefs1) #逆傅里叶变化\n",
    "\n",
    "\n",
    "# 把振幅列表画出来\n",
    "fg,ax = plt.subplots(2,2,figsize= (20,4))\n",
    "\n",
    "# 绘制无噪音混合波形时域图\n",
    "ax[0,0].grid()\n",
    "ax[0,0].plot(freq_shift1[0:500],m_clean[0:500] , \"b\")\n",
    "\n",
    "ax[0,1].grid()\n",
    "ax[0,1].plot(freq_shift1[0:500],np.real(s_denoise)[0:500] , \"b\")\n",
    "\n",
    "\n",
    "ax[1,0].grid()\n",
    "ax[1,0].stem(freq_shift,amp_shifted)\n",
    "ax[1,0].set_xlim([-150,150])\n",
    "ax[1,0].set_ylim([-0.5,21])\n",
    "\n",
    "\n",
    "\n",
    "# 把振幅列表画出来\n",
    "ax[1,1].grid()\n",
    "ax[1,1].stem(freq_shift,amp_shifted1) #注意：由于频率有负值，所以振幅被平分了，需要乘以2才能还原原始振幅\n",
    "ax[1,1].set_xlim([-150,150])\n",
    "ax[1,1].set_ylim([-0.5,21])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1926a03d-ce8a-49c2-9d73-78ea81a2eb40",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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